1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows: W' (t) = aw (t) - BW (t) where is a constant between 0 and 1. a and ß are constants. Make use of the substitution y(t) = W (t)¹-2 and solve for the solution to the differential equation when at t = 0, W = 100 species. Make a, ß and 2, still arbitrary.
1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows: W' (t) = aw (t) - BW (t) where is a constant between 0 and 1. a and ß are constants. Make use of the substitution y(t) = W (t)¹-2 and solve for the solution to the differential equation when at t = 0, W = 100 species. Make a, ß and 2, still arbitrary.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows:
w'(t) = aW(t)1 – BW (t)
-
where 1 is a constant between 0 and 1. a and ß are constants. Make use of the substitution
y(t) = W (t)'-1
and solve for the solution to the differential equation when at t = 0, W = 100 species. Make a, ß
and 2, still arbitrary.
oth
f.....A
f... tir](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdd355f55-38a8-4aa0-961a-dc0d1386c79d%2F18de5840-a1e0-47e9-943f-a3439c4cbdcc%2Fuzrhkvl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. The von Bertalanffy equation is defined by the Ordinary Differential Equations as follows:
w'(t) = aW(t)1 – BW (t)
-
where 1 is a constant between 0 and 1. a and ß are constants. Make use of the substitution
y(t) = W (t)'-1
and solve for the solution to the differential equation when at t = 0, W = 100 species. Make a, ß
and 2, still arbitrary.
oth
f.....A
f... tir
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